To determine which stem-and-leaf plot matches the histogram, let's analyze the data displayed in the histogram.

Histogram Analysis:

The histogram displays frequencies within specific intervals:

• 0 to 15: No data (frequency 0).
• 15 to 30: Frequency of 3.
• 30 to 45: Frequency of 4.
• 45 to 60: Frequency of 1.

This suggests:

1. There are three data points in the range 15–30.
2. There are four data points in the range 30–45.
3. There is one data point in the range 45–60.

Now, let's examine each stem-and-leaf option and match it with these findings.

1. Option A:
   • Stem 1: Leaves 2, 2, 4 (three values in the range 15–30).
   • Stem 2: Leaves 4, 7 (two values in the range 30–45).
   • Stem 3: Leaves 0, 1, 4 (three values in the range 30–45).
   • Stem 4: Leaf 0 (one value in the range 45–60).

This matches the histogram's distribution:

• Three data points in 15–30 (Stem 1).
• Four data points in 30–45 (Stems 2 and 3 combined).
• One data point in 45–60 (Stem 4).

Answer: The correct choice is Graph A.

Would you like more details on interpreting histograms or stem-and-leaf plots?

Here are some related questions to expand your understanding:

1. How do you interpret data from a stem-and-leaf plot?
2. What are the advantages of using a histogram over a stem-and-leaf plot?
3. How can you convert a stem-and-leaf plot to a histogram?
4. What types of data are best represented by stem-and-leaf plots?
5. How can outliers affect the appearance of a histogram or stem-and-leaf plot?

Tip: When matching data from histograms to stem-and-leaf plots, focus on frequencies and the ranges of values represented by each "stem" in the plot.